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Popular >

integral from-6 to 6 of 6-|x|

Solution

\int_{- 6}^{6} 6 - ∣ x ∣ d x

Solution

36

Solution steps

\int_{- 6}^{6} 6 - ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 6}^{0} 6 - (- x) d x + \int_{0}^{6} 6 - x d x

\int_{- 6}^{0} 6 - (- x) d x = 18

\int_{0}^{6} 6 - x d x = 18

= 18 + 18

Simplify

= 36

Popular Examples

integral from 0 to 2 of 4^{3x}

\int_{0}^{2} 4^{3 x} d x

integral from x to 1 of 6x

\int_{x}^{1} 6 x d x

integral from 0 to 1 of 13\sqrt[13]{x}

integral from 0 to 1 of 1/(x^q)

\int_{0}^{1} \frac{1}{x ^{q}} d x

integral from 0 to 2 of sqrt(1+(-2x)^2)

\int_{0}^{2} 1 + (- 2 x)^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from-6 to 6 of 6-|x| ?
The integral from-6 to 6 of 6-|x| is 36